1457190319 has 16 divisors (see below), whose sum is σ = 1606177440. Its totient is φ = 1313769600.

The previous prime is 1457190281. The next prime is 1457190331. The reversal of 1457190319 is 9130917541.

It is not a de Polignac number, because 1457190319 - 2¹⁵ = 1457157551 is a prime.

It is a super-2 number, since 2×1457190319² = 4246807251574643522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457190019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114369 + ... + 126469.

It is an arithmetic number, because the mean of its divisors is an integer number (100386090).

Almost surely, 2^1457190319 is an apocalyptic number.

1457190319 is a deficient number, since it is larger than the sum of its proper divisors (148987121).

1457190319 is a wasteful number, since it uses less digits than its factorization.

1457190319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330.

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 1457190319 is about 38173.1622871357. The cubic root of 1457190319 is about 1133.7190018944.

The spelling of 1457190319 in words is "one billion, four hundred fifty-seven million, one hundred ninety thousand, three hundred nineteen".